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Mathematical Analysis of Thermoplasticity with Linear Kinematic Hardening

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2006

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Chełmiński, Krzysztof

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https://doi.org/10.1515/JAA.2006.37
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Journal of Applied Analysis. 2006, 12(1), pp. 37-57. ISSN 1425-6908. eISSN 1869-6082. Available under: doi: 10.1515/JAA.2006.37

Zusammenfassung

We study thermoplasticity with the Prandtl-Reuss flow rule and with a linear evolution equation for the kinematic hardening. The yield function associated with the system under consideration depends explicitly on the temperature. To have a control on the temperature, we slightly modify the heat equation and prove that an approximation process, based on the Yosida approximation, converges to a global in time solution of the (modified) system of thermoplasticity.

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510 Mathematik

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ISO 690CHEŁMIŃSKI, Krzysztof, Reinhard RACKE, 2006. Mathematical Analysis of Thermoplasticity with Linear Kinematic Hardening. In: Journal of Applied Analysis. 2006, 12(1), pp. 37-57. ISSN 1425-6908. eISSN 1869-6082. Available under: doi: 10.1515/JAA.2006.37
BibTex
@article{Cheminski2006-01Mathe-40935,
  year={2006},
  doi={10.1515/JAA.2006.37},
  title={Mathematical Analysis of Thermoplasticity with Linear Kinematic Hardening},
  number={1},
  volume={12},
  issn={1425-6908},
  journal={Journal of Applied Analysis},
  pages={37--57},
  author={Chełmiński, Krzysztof and Racke, Reinhard}
}
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